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Probability of Compound Events Standards: MM1D2a. Find the probabilities of mutually exclusive events. b. Find the probabilities of dependent events. c. Calculate conditional probabilities.
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Foldable Time! 1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line.
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2. Now, divide the right hand section into 4 sections by drawing 3 evenly spaced lines. 3. Use scissors to cut along your drawn line, but ONLY to the crease! The fold crease
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4. Write COMPOUND EVENTS down the left hand side
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5. Fold over the top cut section and write MUTUALLY EXCLUSIVE EVENTS on the outside. 6.On the remaining 3 flaps, write: OVERLAPPING EVENTS INDEPENDENT EVENTS and DEPENDENT EVENTS
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Compound Event Combines two or more events, using the word AND or OR
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Mutually Exclusive Events Events that have no common outcomes Formula:
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Overlapping Events Events that have at least one common outcome Formula:
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Independent Events Events that have no effect on each other Formula:
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Dependent Events Events where the occurrence of one affects the occurrence of another Formula:
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Conditional Probability Used with DEPENDENT events: The probability that one event will occur given that another event has already occurred. EX. The probability of B given A; Key Concept: NON-REPLACEMENT
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Example 1
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You Try!
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Example 2
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You Try!
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Example 3
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You Try!
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Classify the compound events given below as either independent or dependent Rolling a die, then rolling a second die Drawing a card for a hand of poker, then drawing another card Picking a prize from a grab bag, then picking another Spinning a $100 slice on Wheel of Fortune, then spinning another $100 slice
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